Use the Lyapunov function of the form V(x, y) fixed point of the following system: ax² + by² to show (0,0) is an asymptotically stable i = −³+2ry²2 j=-g

Q: Find the linear approximation L(x of the function f(x) =V1– at a = 0. L(x)=mx+b where m is - and b…

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Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: Find the linearization L(x) of the function f(x)=x to the 4th power +2x to the 2nd power +1 at x=2.…

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Q: Find and classify the stationary point(s) of the following functions: (a) 1: R³→ R defined by: 1(x)…

A: As per Bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

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Q: T(x1, x2, x3) = (x1-x2, x2-x3, x1 ) is this is linear

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Q: 3/= (4 + x)-¹/2, Find the Linearization L(x) = a = 5 at x = a.

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Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.